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Finding the Fourth Proportional to 301,806, 416,492.28 and 167,670

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Solution

The fourth proportional to 301,806, 416,492.28 and 167,670 is: 231,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806 : 416,492.28 = 167,670 : x
  2. Step 2: Convert to fraction form
    301,806/416,492.28 = 167,670/x
  3. Step 3: Cross multiply
    301,806x = 416,492.28 × 167,670
  4. Step 4: Simplify right side
    301,806x = 69,833,260,587.60
  5. Step 5: Solve for x
    x = 69,833,260,587.60/301,806
  6. Step 6: Final answer
    x = 231,384.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.